Answer:
-21
Step-by-step explanation:
-6x + 2y = -18.........(i)
-3x - 2y = 54...........(ii)
add equ.(ii) to equ. (i)
(-6x + [-3x]) + (2y + [-2y]) = -18 + 54
-9x = 36
x = -4
sub x= -4 into equ (i)
-6(-4) +2y = -18
24 + 2y = -18
24 +18 = -2y
42 = -2y
y = -21
I think this is how you do it: You would multiply 3/8 to 3/4 min...then convert into decimal..and get 0.5 min.
Answer:
x = -25.
Step-by-step explanation:
If f(x) = 2x + 1, and g(x) = -5x + 2, then f(g(x)) = 2(-5x + 2) + 1 = -10x + 4 + 1 = -10x + 5.
f(g(x)) = -10x + 5, and x = 3.
-10 * 3 + 5
= -30 + 5
= -25.
Hope this helps!
Answer:
16.7552
Step-by-step explanation:
The Area of a sector of a circle is θ/360 pi r²
so,
30/360 x 3.142 x 8 x 8
= 16.7551 to four decimal places is
Answer:
P(X < 3) = 0.7443
Step-by-step explanation:
We are given that the random variable X has a binomial distribution with the given probability of obtaining a success. Also, given n = 6, p = 0.3.
The above situation can be represented through Binomial distribution;

where, n = number of trials (samples) taken = 6
r = number of success = less than 3
p = probability of success which in our question is 0.3.
LET X = a random variable
So, it means X ~ 
Now, Probability that X is less than 3 = P(X < 3)
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
= 
=
= 0.11765 + 0.30253 + 0.32414 = 0.7443
Therefore, P(X < 3) = 0.7443.